Application of the light-front coupled-cluster method to ${\varphi }^4$ theory in two dimensions

Abstract

As a first numerical application of the light-front coupled-cluster (LFCC) method, we consider the odd-parity massive eigenstate of ${\varphi }_{1+1}^4$ theory. The eigenstate is built as a Fock-state expansion in light-front quantization, where wave functions appear as coefficients of the Fock states. A standard Fock-space truncation would then yield a finite set of linear equations for a finite number of wave functions. The LFCC method replaces Fock-space truncation with a more sophisticated truncation, one which reduces the eigenvalue problem to a finite set of nonlinear equations without any restriction on Fock space. We compare our results with those obtained with a Fock-space truncation that yields the same number of equations.

18 pages, 8 figures, RevTeX 4.1

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• Basis of symmetric polynomials for many-boson light-front wave functions
• Form Factors and Spectral Densities from Lightcone Conformal Truncation
• Bootstrapping 2d ${\varphi }^4$ Theory with Hamiltonian Truncation Data
• Light-front ${\varphi }_{1+1}^4$ theory using a many-boson symmetric-polynomial basis
• Light-front ${\varphi }_2^4$ theory with sector-dependent mass
• High Resolution Nonperturbative Light-Front Simulations of the True Muonium Atom
• Pauli-Villars regularization of non-Abelian gauge theories
• Convergence of the light-front coupled-cluster method in quenched scalar Yukawa theory
• Symmetry breaking in light-front ${\varphi }^4$ theory
• The light-front coupled-cluster method applied to ${\varphi }_{1+1}^4$ theory